# The Tigers won twice as many football games as they lost. They played 96 games. How many games did the win?

Dec 7, 2016

They Tigers won 64 games.

#### Explanation:

Let's call the games the Tigers won $w$ and the games they lost $l$.

With the information provided in the question we can write two equations we can solve using substitution:

Because we know they played 96 games we know we can add the wins and losses to equal 96:

$w + l = 96$

And, because we know they won twice as many games as they lost we can write:

$w = 2 l$

Because the second equation is already in terms of $w$ we can substitute $2 l$ for $w$ in the first equation and solve for $l$:

$2 l + l = 96$

$3 l = 96$

$\frac{3 l}{3} = \frac{96}{3}$

$l = 32$

We can now substitute $32$ for $l$ in the first equation and calculate $w$.

$w = 2 \times 32$

$w = 64$